It's not 1 dollar, it's 1 peso. Mexico uses the "$" symbol to stand for pesos.
The peso's value has fluctuated over the last 10 years but it's been around 7 to 10 US cents recently (2011-2012).
Assuming it's from circulation, less than a dime IF you could exchange it.
The denomination is almost certainly shown as "$1000", but in the Mexican currency system the "$" symbol refers to pesos rather than dollars. On top of that Mexico underwent runaway inflation during the 1980s so the government revalued the peso by lopping 3 zeros off of all prices and values. That would make your coin (an "old peso") equivalent to just one current peso, which translates to about 7¢ at the exchange rate in effect as of 11/2013.
The value of a 1997 one dollar Mexican coin varies by condition. This coin in excellent condition is currently valued at fifteen to twenty cents.
Partial Correction
Mexican currency is pesos, not dollars. However a lot of confusion occurs because the symbol for Mexican pesos is "$", exactly the same as the dollar symbol used in the US, Canada, Australia, New Zealand, etc.
As such coin is still legal tender, its value is 38 cents.
Note that it's really a 5 peso coin; Mexican currency uses the $ sign for pesos rather than dollars.
There is not a currently circulating 2,000 Mexican pesos bill. Your bill would be of numismatic value only.
The value of one 1998 peso Mexico coin is about two American dollars.
Mexico did not issue paper 1 Peso notes until 1920. Prior to that, 1 Peso was a coin.
10 cents
A peso coin is a form of currency used in countries such as Mexico, the Philippines, and various countries in South America. It typically features the denomination on one side and national symbols on the other. The value of a peso coin can vary depending on the country in which it is used.
Mexico introduced the new peso in 1993, so anything dated before that is obsolete. However, older coins in larger denominations still have some value for their metal content.
a peso coin is made through melting of copper ores and molding it into peso coins
The circumference of a one peso coin is 2.4 cm. A peso is the currency for the country of Mexico.
Without seeing your coin it's not possible to say for sure. However, if it is a standard circulation coin its value is very small. Inflation caused Mexico's currency to become nearly worthless by the late 1980s. In 1993, all existing pesos were replaced by the "nuevo peso" (new peso) at an exchange rate of 1000 to 1. The new peso is currently worth around 11¢ U.S. so one old peso would be one one-thousandth of that, or $0.00011.
Most often "Peso" refers to Mexican currency. However Mexico is not the only country that uses pesos. Some other countries that use pesos are: Argentina, Chile, Cuba, and Uruguay. Ask another question and include the following information: date, country of origin, and the denomination. For example "What is the value of a 1978 Mexican peso" or "What is the value of a 1978 Cuban peso". If your coins is from a different country or denomination just include the correct information.
I am assuming it is a 10 peso coin (shown as $10; "$" means "peso" on Mexican coins). If it's from circulation its value is quite low. Mexico's currency was devalued by inflation in the 1980s and the country replaced its money in 1993 at the rate of 1000 old pesos to 1 new peso. 10 old pesos would convert to 1/100 of a new peso, or much less than one U.S. cent at current exchange rates.
I have a 1934 "un peso" silver 720 peso, what is it worth?
centavos 1954 coin
Well, 100 (Mexican) peso bill would be worth... 100 Mexican pesos (which is the currency they use in Mexico!) assuming it was after 1993, if the bill was before 1993 it would be worth 1/10th of a Mexican peso (since the New Peso was introduced in 1993 which 1 new peso is equal to 1000 old pesos)